I can try to embed an emulator but I don't know if the emulator I usually use on itch supports two players. Will look into it later.

But rest assured that this is not an executable, it's just a NES ROM, so it's impossible to affect the host computer. And if you don't want to download a NES emulator for it (which does make sense to avoid for safety reasons, since it'd be an executable), you can find plenty of web emulators with which you can load the ROM.